< Back to Article

Impact of Adaptation Currents on Synchronization of Coupled Exponential Integrate-and-Fire Neurons

Figure 2

Effects of adaptation on PRCs of aEIF neurons.

A,B: PRCs associated with adaptation parameters as in Fig. 1D,E. Solid curves are PRCs calculated with the adjoint method and scaled by 0.1 mV, circles denote PRC points that were obtained from numerical simulations of eqs. (1)–(3), using 0.1 mV perturbations at various phases (see Methods and Text S1). The input currents were chosen to ensure 40 Hz spiking. Note that the discontinuity of the PRCs at is caused by the reset of the spiking trajectories. C–F Top: PRCs for adaptation parameters as indicated and (C), (D), (E), (F). C–F Bottom: Vector field, - and -nullclines, and periodic spiking trajectory in the respective state space. The reset point (solid square) of the trajectory corresponds to the phase . A solid arrow marks the location along the trajectory where the PRC (shown above) has its maximum. Dashed arrows in D, F mark the trajectory points that correspond to the zero crossings of the PRCs. Trajectory points change slowly in regions where the vector field magnitudes are small. The dashed blue curve in D denotes the boundary of the domain of attraction of the fixed point, which is located at the intersection of the nullclines. Note that differences in the vector fields and -nullclines between C and E as well as D and F, are due to the changes in .

doi: https://doi.org/10.1371/journal.pcbi.1002478.g002